339 Ergebnisse - Zeige 121 von 140.

CHAPTER I FOUNDATION FOR METRICAL GEOMETRY IN A LIMITED REGION CHAPTER II CONGRUENT TRANSFORMATIONS CHAPTER III THE THREE HYPOTHESES CHAPTER IV THE INTRODUCTION OF TRIGONOMETRIC FORMULAE CHAPTER V ANALYTIC FORMULAE CHAPTER VI CONSISTENCY AND SIGNIFICANCE OF THE AXIOMS CHAPTER VII THE GEOMETRIC AND ANALYTIC EXTENSION OF SPACE CHAPTER VIII THE GROUPS OF CONGRUENT TRANSFORMATIONS CHAPTER IX POINT, LINE, AND PLANE TREATED ANALYTICALLY CHAPTER X TH...

CONTENTS ESSAY I ON THE SPECTRUM OF HYDROGEN Empirical spectral laws Laws of temperature radiation The nuclear theory of the atom Quantum theory of spectra Hydrogen spectrum The Pickering lines Other spectra ESSAY II ON THE SERIES SPECTRA OF THE ELEMENTS I. Introduction II. General Principles of the Quantum Theory of Spectra Hydrogen spectrum The correspondence principle General spectral laws Absorption and excitation of radiation III. Deve...

The Tailor of Gloucester is an original classic by Beatrix Potter. The Tailor of Gloucester is number three in Beatrix Potter's series of 23 little books. Look out for the rest! 1 The Tale of Peter Rabbit 2 The Tale of Squirrel Nutkin 3 The Tailor of Gloucester 4 The Tale of Benjamin Bunny 5 The Tale of Two Bad Mice 6 The Tale of Mrs. Tiggy-Winkle 7 The Tale of Mr. Jeremy Fisher 8 The Tale of Tom Kitten 9 The Tale of Jemima Puddle-Duck 10 ...

Vallabhbhai Patel, popularly known as Sardar Patel, was an Indian barrister and statesman, one of the leaders of the Indian National Congress and one of the founding fathers of the Republic of India. He was a social leader who played a leading role in the country struggle for independence and guided its integration into a United, independent nation. Inspired by Mahatma Gandhi to join the freedom struggle, Patel was at the forefront of the Quit...

The Tale of Johnny Town-Mouse is an original classic by Beatrix Potter. The Tale of Johnny Town-Mouse is number thirteen in Beatrix Potter's series of 23 little books. Look out for the rest! 1 The Tale of Peter Rabbit 2 The Tale of Squirrel Nutkin 3 The Tailor of Gloucester 4 The Tale of Benjamin Bunny 5 The Tale of Two Bad Mice 6 The Tale of Mrs. Tiggy-Winkle 7 The Tale of Mr. Jeremy Fisher 8 The Tale of Tom Kitten 9 The Tale of Jemima Pu...

The Tale of Mrs. Tittlemouse is an original classic by Beatrix Potter. The Tale of Mrs. Tittlemouse is number eleven in Beatrix Potter's series of 23 little books. Look out for the rest! 1 The Tale of Peter Rabbit 2 The Tale of Squirrel Nutkin 3 The Tailor of Gloucester 4 The Tale of Benjamin Bunny 5 The Tale of Two Bad Mice 6 The Tale of Mrs. Tiggy-Winkle 7 The Tale of Mr. Jeremy Fisher 8 The Tale of Tom Kitten 9 The Tale of Jemima Puddle...

The Mughal Empire was an empire that at its greatest territorial extent ruled parts of what is todays Afghanistan, Pakistan and most of the Indian Subcontinent, then known as Hindustan, between 1526 and 1707. The empire was founded by the Timurid leader Babur in 1526, when he defeated Ibrahim Lodi, the last of the Delhi Sultans at the First Battle of Panipat. "Mughal" is the Persian word for "Mongol". The religion of the Mughals was Islam. Und...

The Delhi Sultanate was an Islamic empire based in Delhi that stretched over large parts of South Asia for 320 years. Following the invasion of the subcontinent by the Ghurid dynasty, five dynasties ruled over the Delhi Sultanate sequentially: the Mamluk dynasty, the Khalji dynasty, the Tughlaq dynasty, the Sayyid dynasty, and the Lodi dynasty. It covered large swaths of territory in modern-day India, Pakistan, and Bangladesh as well as some p...

The Yoga Sutras of Patanjali is an age-old treatise written on the four-fold path of yoga. It delves into the workings of our mind, body and spirit. It provides details of each sutra, simultaneously guiding us on ways to reach our goals. Starting from the very basics like concentration and meditation, to higher goals like attaining liberation and self-realization, these sutras are meant to teach us ways that help elevate lives and spirits. Thi...

Introduction General remarks on the place of Quaternions in Physics Cartesian form of some of the results to follow Definitions Properties of ¿ Fundamental Property of D Theorems in Integration Potentials Brief recapitulation of previous work in this branch Strain, Stress-force, Stress-couple Stress in terms of strain The equations of equilibrium Variation of temperature Small strains Isotropic Bodies Particular integral of the eq...

1 THE PRINCIPLES OF INVARIANT THEORY 2 PROPERTIES OF INVARIANTS 3 THE PROCESSES OF INVARIANT THEORY 4 REDUCTION 5 GORDAN'S THEOREM 6 FUNDAMENTAL SYSTEMS 7 COMBINANTS AND RATIONAL CURVES 8 SEMINVARIANTS. MODULAR INVARIANTS 9 INVARIANTS OF TERNARY FORMS

I THEORETICAL 1. THE POSITIVE INTEGER, AND THE LAWS WHICH REGULATE THE ADDITION AND MULTIPLICATION OF POSITIVE INTEGERS. 2. SUBTRACTION AND THE NEGATIVE INTEGER. 3. DIVISION AND THE FRACTION. 4. THE IRRATIONAL 5. THE IMAGINARY COMPLEX NUMBERS. 6. GRAPHICAL REPRESENTATION OF NUMBERS. THE VARIABLE. 7. THE FUNDAMENTAL THEOREM OF ALGEBRA. 8. INFINITE SERIES. 9. THE EXPONENTIAL AND LOGARITHMIC FUNCTIONS UNDETERMINED COEFFICIENTS INVOLUTION AND EVOL...

A Mathematician's Apology is the famous essay by British mathematician G. H. Hardy. It concerns the aesthetics of mathematics with some personal content and gives the layman an insight into the mind of a working mathematician. It is an attempt to justify and explain, pure mathematics. One of the main themes of the book is the beauty that mathematics possesses, which Hardy compares to painting and poetry. G. H. Hardy (7 Feb 1877 - 1 Dec 1947)...

CHAPTER I. Introduction CHAPTER II. Development in Trigonometric Series CHAPTER III. Convergence of Fourier's Series CHAPTER IV. Solution of Problems in Physics by the Aid of Fourier's Integrals and Fourier's Series CHAPTER V. Zonal Harmonics CHAPTER VI. Spherical Harmonics CHAPTER VII. Cylindrical Harmonics (Bessel's Functions) CHAPTER VIII. Laplace's Equation in Curvilinear Cöordinates. Ellipsoidal Harmonic CHAPTER IX. Historical Summary

I. Introductory Remarks on the Nature and Objects of Mathematics II. On Arithmetical Notation III. Elementary Rules of Arithmetic IV. Arithmetical Fractions V. Decimal Fractions VI. Algebraical Notation and Principles VII. Elementary Rules of Algebra VIII. Equations of the First Degree IX. On the Negative Sign, etc X. Equations of the Second Degree XI. On Roots in General, and Logarithms XII. On the Study of Algebra XIII. On the Definitions of...

PART I FUNDAMENTAL FACTS AND DEFINITIONS I. General Introduction II. Radiation at Thermodynamic Equilibrium. Kirchhoff's Law Black Radiation PART II DEDUCTIONS FROM ELECTRODYNAMICS AND THERMODYNAMICS I. Maxwell's Radiation Pressure II. Stefan-Boltzmann Law of Radiation III. Wien's Displacement Law IV. Radiation of Any Arbitrary Spectral Distribution of Energy. Entropy and Temperature of Monochromatic Radiation V. Electrodynamical Proces...

Part I Fundamental ideas CHAPTER I The Meaning of Probability CHAPTER II Probability in Relation to the Theory of Knowledge CHAPTER III The Measurement of Probabilities CHAPTER IV The Principle of Indifference CHAPTER V Other Methods of Determining Probabilities CHAPTER VI The Weight of Arguments CHAPTER VII Historical Retrospect CHAPTER VIII The Frequency Theory of Probability CHAPTER IX The Constructive Theory of Part I. Summarized ...

The contents of the book are as follows CHAPTER I Euclidean Space. Its Mathematical Formulation and its Rôle in Physics CHAPTER II The Metrical Continuum CHAPTER III Relativity of Space and Time CHAPTER IV The General Theory of Relativity

G. H. Hardy (7 Feb 1877 - 1 Dec 1947) was an eccentric British mathematician who worked extensively in mathematical analysis and analytical number theory alongside J.E Littlewood. He is perhaps even better known for his adoption and mentoring of the self-taught Indian mathematical genius, Srinivasa Ramanujan. Hardy wanted his work to be referred to as pure mathematics rather than applied mathematics. In his view, mathematics was not someth...

In India, Karnataka State stands first both in the area and production of Arecanut when compared to other states. In Karnataka among the 27 districts, Shimoga district stands first in area under areca cultivation more than 20, 000 hectares in 2002. In addition to this, Shimoga district recorded the highest increase in area under Arecanut cultivation in the last decade (1990-91 to 2000-01) as compared to other districts. Karnataka is a state in...